This paper presents an alternative verification of the acquisition sequence for the establishment of an optical inter-satellite link. The proposed approach quantifies the effects of system uncertainties over the tracking error of a nonlinear reference trajectory. The Attitude and Orbit Control System controls the spacecraft attitude during the acquisition sequence towards a predetermined scanning pattern. However, uncertain parameter variations can cause the spacecraft to diverge from the predefined trajectory. Instead of depending solely on traditional Monte Carlo simulations to assess the effect of uncertainties, the methodology employed in this paper uses a linear fractional transformation based polynomial chaos expansion. This innovative probabilistic robustness analysis technique has proven to offer computational efficiency. The
results show that the proposed verification approach is capable of nearly reproducing the outputs of Monte Carlo analysis with significantly reduced computational time.